document.write( "Question 141040: Can you please help me?* my question is: Determine whether the graph of y=|4x| is symmetric with respect to the x-axis, the y-axis, or the origin \n" ); document.write( "

Algebra.Com's Answer #102697 by Edwin McCravy(20060) $\"\"$ $\"About$

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Can you please help me?* my question is: Determine whether the graph of $\"y=abs%284x%29\"$ is symmetric with respect to the x-axis, the y-axis, or the origin
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document.write( "Rule:\r\n" );
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document.write( "1. Replace y by -y only and simplify.  If the simplified form is\r\n" );
document.write( "identical to the original, then the graph is symmetric with\r\n" );
document.write( "respect to the x-axis.\r\n" );
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document.write( "2. Replace x by -x only and simplify.  If the simplified form is\r\n" );
document.write( "identical to the original, then the graph is symmetric with\r\n" );
document.write( "respect to the y-axis.\r\n" );
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document.write( "3. Replace x by -x and y by -y and simplify.  If the simplified form is\r\n" );
document.write( "identical to the original, then the graph is symmetric with\r\n" );
document.write( "respect to the origin.\r\n" );
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document.write( "We replace y by -y only and simplify.  \r\n" );
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document.write( "This does not simplify to the original, so it is not\r\n" );
document.write( "symmetric with respect to the x-axis.\r\n" );
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document.write( "2. Replace x by -x only and simplify.  \r\n" );
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document.write( "This simplified form is identical to the original, \r\n" );
document.write( "so the graph is symmetric with respect to the y-axis.\r\n" );
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document.write( "3. Replace x by -x and y by -y and simplify. \r\n" );
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document.write( "Replace y by -y only and simplify.  \r\n" );
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document.write( "This does not simplify to the original, so it is not\r\n" );
document.write( "symmetric with respect to the origin.\r\n" );
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document.write( "So it is only symmetric with respect to the y-axis.\r\n" );
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document.write( "Here is the graph, and you can see that the y-axis is\r\n" );
document.write( "the axis of symmetry.\r\n" );
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document.write( "Edwin

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